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Find the measure of each exterior angle of a regular polygon of 9 sides.
- a)30°
- b)90°
- c)40°
- d)60°
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Find the measure of each exterior angle of a regular polygon of 9 side...
Sum of all exterior angles of the given polygon = 360degree
Each exterior angle of a regular polygon has the same measure.
Thus, measure of each exterior angle of a regular polygon of 9 sides=360/9= 40degree.
Most Upvoted Answer
Find the measure of each exterior angle of a regular polygon of 9 side...
Understanding Exterior Angles of a Polygon
To find the measure of each exterior angle of a regular polygon, we can use a simple formula. An exterior angle is formed by one side of the polygon and the extension of an adjacent side.
Formula for Exterior Angles
The formula to calculate the measure of each exterior angle of a regular polygon is:
- Each exterior angle = 360° / Number of sides
In this case, we have a regular polygon with 9 sides.
Calculation Steps
1. Identify the number of sides:
- This polygon has 9 sides.
2. Apply the formula:
- Each exterior angle = 360° / 9
3. Perform the calculation:
- 360° ÷ 9 = 40°
Conclusion
Therefore, the measure of each exterior angle of a regular polygon with 9 sides is 40°.
This means the correct answer is option 'C', which is 40°.
Understanding this concept helps in various applications, including geometry and real-world situations where shapes are involved.
To find the measure of each exterior angle of a regular polygon, we can use a simple formula. An exterior angle is formed by one side of the polygon and the extension of an adjacent side.
Formula for Exterior Angles
The formula to calculate the measure of each exterior angle of a regular polygon is:
- Each exterior angle = 360° / Number of sides
In this case, we have a regular polygon with 9 sides.
Calculation Steps
1. Identify the number of sides:
- This polygon has 9 sides.
2. Apply the formula:
- Each exterior angle = 360° / 9
3. Perform the calculation:
- 360° ÷ 9 = 40°
Conclusion
Therefore, the measure of each exterior angle of a regular polygon with 9 sides is 40°.
This means the correct answer is option 'C', which is 40°.
Understanding this concept helps in various applications, including geometry and real-world situations where shapes are involved.
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Community Answer
Find the measure of each exterior angle of a regular polygon of 9 side...
Sum of all the exterior angles of any polygon is 360 degree the formula to find it is : no. of sides = 360/measure of each exterior angle answer 9=360/x x=360/9 x= 40
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Find the measure of each exterior angle of a regular polygon of 9 sides.a)30°b)90°c)40°d)60°Correct answer is option 'C'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Find the measure of each exterior angle of a regular polygon of 9 sides.a)30°b)90°c)40°d)60°Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the measure of each exterior angle of a regular polygon of 9 sides.a)30°b)90°c)40°d)60°Correct answer is option 'C'. Can you explain this answer?.
Find the measure of each exterior angle of a regular polygon of 9 sides.a)30°b)90°c)40°d)60°Correct answer is option 'C'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Find the measure of each exterior angle of a regular polygon of 9 sides.a)30°b)90°c)40°d)60°Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the measure of each exterior angle of a regular polygon of 9 sides.a)30°b)90°c)40°d)60°Correct answer is option 'C'. Can you explain this answer?.
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